Integer Division Worksheet (1) Question 1

This interactive GeoGebra applet demonstrates the process and results of integer division by integers. It is designed as a visual teaching aid for Question 1 of an integer division worksheet, helping learners at the foundational arithmetic level grasp the relationship between dividend, divisor, quotient, and remainder. The applet utilizes GeoGebra commands including Sequence, Polygon, Point, and Mod to create a dynamic, step-by-step visualization. As users manipulate the input values for the dividend and divisor, the construction updates in real time, showing how many complete groups fit into the dividend and what remains. The use of polygon and point constructions allows the model to represent groups visually, making abstract numerical relationships tangible. The Mod command computes the remainder at each step, reinforcing the mathematical identity that dividend equals divisor times quotient plus remainder. Students can interact with the applet by adjusting the dividend and divisor values and observing how the quotient and remainder change accordingly. This interactivity supports exploratory learning, allowing learners to test multiple examples and discover patterns in integer division. The visual representation complements the algebraic algorithm, bridging the gap between concrete understanding and symbolic computation. The applet is particularly useful for early mathematics education, where building an intuitive foundation is essential before moving to more advanced topics such as long division, fractions, and modular arithmetic. By connecting the geometric visualization with the numerical calculation, it reinforces the conceptual meaning behind the division algorithm rather than encouraging rote memorization. This makes it an effective tool for both classroom instruction and independent practice, directly supporting the解题思路 (problem-solving approach) for Question 1 of the worksheet.